5 citations · 18 across the 31 of their papers we have counts for
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ORTHOCUB: integral and differential cubature rules by orthogonal moments
Laura Rinaldi, Alvise Sommariva, Marco Vianello
We discuss a numerical package, named ORTHOCUB, for the computation of linear functionals of both integral and differential type on multivariate polynomial spaces. The weighted sum…
Effective numerical integration on complex shaped elements by discrete signed measures
Laura Rinaldi, Alvise Sommariva, Marco Vianello
We discuss a cheap and stable approach to polynomial moment-based compression of multivariate measures by discrete signed measures. The method is based on the availability of an or…
Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions
Maryam Mohammadi, Alvise Sommariva, Marco Vianello
We make a further step in the open problem of unisolvence for unsymmetric Kansa collocation, proving that the MultiQuadric Kansa method with fixed collocation points and random fic…
Cheap and stable quadrature on polyhedral elements
Alvise Sommariva, Marco Vianello
We discuss a cheap tetrahedra-free approach to the numerical integration of polynomials on polyhedral elements, based on hyperinterpolation in a bounding box and Chebyshev moment c…
Polynomial meshes on algebraic sets
Leokadia Bialas-Ciez, Agnieszka Kowalska, Alvise Sommariva
Polynomial meshes (called sometimes "norming sets") allow us to estimate the supremum norm of polynomials on a fixed compact set by the norm on its discrete subset. We give a gener…